Transport equations for a general class of evolution equations with random perturbations

DOI10.1063/1.533003zbMath0988.82045OpenAlexW2089525783MaRDI QIDQ4498418

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Publication date: 16 August 2000

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.533003

zbMATH Keywords

pseudodifferential operatorsWeyl operatortransport equations

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Transport processes in time-dependent statistical mechanics (82C70) Partial differential equations of mathematical physics and other areas of application (35Q99) Waves in solid mechanics (74J99) Radiative transfer in astronomy and astrophysics (85A25)

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Transport Models for Wave Propagation in Scattering Media with Nonlinear Absorption ⋮ Kinetic modeling of multiple scattering of elastic waves in heterogeneous anisotropic media ⋮ Radiative transport limit of Dirac equations with random electromagnetic field ⋮ Kinetics of scalar wave fields in random media ⋮ Kinetic Modeling of Multiple Scattering of Acoustic Waves in Randomly Heterogeneous Flows ⋮ Transport equations for waves in randomly perturbed Hamiltonian systems, with application to Rossby waves ⋮ Quasi-local method of wave decomposition in a slowly varying medium

Cites Work

• Transport equations for elastic and other waves in random media
• On Wigner measures
• A transport-theoretic analysis of pulse propagation through ocean sediments
• Homogenization limits and Wigner transforms
• On the Quantum Correction For Thermodynamic Equilibrium

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